4.8 Article

Suppression of Heating in Quantum Spin Clusters under Periodic Driving as a Dynamic Localization Effect

Journal

PHYSICAL REVIEW LETTERS
Volume 121, Issue 5, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.121.050602

Keywords

-

Funding

  1. Russian Science Foundation [17-12-01587]
  2. Shanghai Pujiang Program [17PJ1407400]
  3. Russian Science Foundation [17-12-01587] Funding Source: Russian Science Foundation

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We investigate numerically and analytically the heating process in ergodic clusters of interacting spins 1/2 subjected to periodic pulses of an external magnetic field. Our findings indicate that there is a threshold for the pulse strength below which the heating is suppressed. This threshold decreases with the increase of the cluster size, approaching zero in the thermodynamic limit, yet it should be observable in clusters with fairly large Hilbert spaces. We obtain the above threshold quantitatively as a condition for the breakdown of the golden rule in the second-order perturbation theory. It is caused by the phenomenon of dynamic localization.

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